A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. It is given that the width of the dance floor is feet. The length is feet longer than the width; therefore, the length of the dance floor is . So the perimeter is .
Desmos solution:
Note: The listed widths make the perimeter expression fit 4w+12, so choice B matches.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect because it is the sum of one length and one width, which is only half the perimeter.
Choice C
Choice C is incorrect and may result from using the formula for the area instead of the formula for the perimeter and making a calculation error.
Choice D
Choice D is incorrect because this is the area, not the perimeter, of the dance floor.